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Finding the Fourth Proportional to 4,576.19, 6,865.19 and 1,654.71

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Solution

The fourth proportional to 4,576.19, 6,865.19 and 1,654.71 is: 2,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,576.19 : 6,865.19 = 1,654.71 : x
  2. Step 2: Convert to fraction form
    4,576.19/6,865.19 = 1,654.71/x
  3. Step 3: Cross multiply
    4,576.19x = 6,865.19 × 1,654.71
  4. Step 4: Simplify right side
    4,576.19x = 11,359,890.27
  5. Step 5: Solve for x
    x = 11,359,890.27/4,576.19
  6. Step 6: Final answer
    x = 2,482.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.